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Finding the Fourth Proportional to 2,084.23, 2,876.23 and 1,200.20

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Solution

The fourth proportional to 2,084.23, 2,876.23 and 1,200.20 is: 1,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.23 : 2,876.23 = 1,200.20 : x
  2. Step 2: Convert to fraction form
    2,084.23/2,876.23 = 1,200.20/x
  3. Step 3: Cross multiply
    2,084.23x = 2,876.23 × 1,200.20
  4. Step 4: Simplify right side
    2,084.23x = 3,452,051.25
  5. Step 5: Solve for x
    x = 3,452,051.25/2,084.23
  6. Step 6: Final answer
    x = 1,656.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.